I want to apply for MSc Neuroscience at KCL or UCL, but...

I'd suggesting contacting the universities directly to enquire about whether your background is suitable. I'm not sure what KCL's offerings are, but UCL has several neuroscience related courses across a few departments, including some specifically relating to their language sciences research, so some may be more suitable than others for you, but I do think a few might be quite fitting for you.

The (cognitive) neuroscience courses at UCL offered through the department of psychology and language sciences would probably be more relevant to your interests and background than the one(s?) offered by the division of biosciences, naturally. The latter focuses very much on the molecular/cell/developmental biology of the nervous system as well as physiology and pharmacology as it relates to the nervous system, which you would almost certainly need a background in biomedical sciences/biochemistry/similar for I would imagine.

More than observing research studies, I think it'd be most relevant to get involved in research directly - look to see if there are any summer research projects/positions/etc for undergraduates for this summer. Don't just limit yourself to SOAS either, look what options there are across the London universities (and maybe further afield that is affordable for you to potentially get to, depending on how much if any funding they provide for the duration of the project). It's a bit late in the year though so formal funded opportunities may be few and far between, but more informal arrangements between individual faculty members may still be possible. Just look through departmental staff research pages, see if any seem suitable to your background and interests, and email them to see if they would like/can accommodate an undergrad doing research with/for them over the summer.

Hi, and thank you for your response!
I was actually wondering how you even find these kind of projects though...I guess it might be a stupid question but I don't have any experience in trying to find those kind of positions and opportunities and it seems like none exist if I simply google it. Are these positions offered directly through the university, or is it a matter of contacting a department and asking?
I am in Japan until September, so my reach is pretty much non-existent at the moment. But I'm hoping to do SOMETHING during my final year.

And yes, I meant to write cognitive neuroscience actually, it is not possible for me to apply for clinical neuroscience because I do not have a BA in the fields they require. But I have hope for cognitive neuroscience as they say they do accept people from non-traditional backgrounds, and I am hoping that my year long ISP relating to neurolinguistics might give me an edge as it relates to neuroscience, I think.

But, do you suppose there is any chance for me? If I email the department, do you think that they would provide me with any sort of realistic expectation?
thank you!!

It varies a fair bit, usually departments send round internal circulars to undergrads inviting applications to e.g. research council funded summer project schemes, although these are also sometimes advertised on the website. However you can sometimes arrange more ad hoc projects directly with staff members.

However since you'll be out of the country all summer, it's more likely you will need to look at doing something in the summer after graduating, but this can sometimes be harder to arrange (as you'll no longer be a student). It may be worth looking to see if there is anything you can do at the university you're presumably studying at in Japan in the meantime in a similar fashion (contacting individual staff to see if they want someone to work with over the summer; I don't know the extent to which this happens in Japan though). Otherwise try contacting staff members (or even the department(s) centrally) once you're back in the UK next year for summer research opportunities (you'll have longer to arrange something in that case, and you'll be more able to try and apply for funded opportunities too).

You probably can't guarantee anything in that realm though so your best bet is to try and do your dissertation on something related to that area and then apply on that basis. It may be the courses will be happy enough to consider someone from just a more general linguistics and languages background so specific experience of neuroscience approaches isn't necessary anyway (and you have some as you noted regardless).

However the Cognitive Neuroscience programme at UCL seems to cater to people from a wide range of backgrounds including philosophy, linguistics, speech sciences, computer science etc, so it may well be you'll be suitably qualified as is (however they might prefer a single honours linguistics background to a joint honours; you have some background so it would probably be worth applying anyway). There is also a Language Sciences programme specialising in neuroscience, language, and communication which seems targeted to those with language and linguistics backgrounds which you almost certainly be qualified for.

The KCL courses look much more oriented to the biomedical side of things; although it notes people with other degrees that aren't biological (or medical) may be considered, but this could mean more e.g. psychology courses with a fair amount of biological psychology content, rather than a linguistics course focusing more on the languages side of things than the mind/brain side of thing UCL sounds like the better bet, although if you can afford the application throwing one in for KCL may surprise you! KCL does have an online Applied Neuroscience masters which accepts students from any background; I don't know to what extent this is suitable to your interests.