Been taxed on my summer job

You'll get a tax rebate.

You don't need a p60.

Call HMRC and ask them to reevaluate your tax status. You'll subsequently get a cheque.

Though just because you're a full-time student doesn't make you tax exempt lol. How ridiculous would that be.

If you have already earned more than roughly £9k (untaxed income) in total since April then you are liable to pay tax.

Actually, up until this year if you were a student and only worked in the holidays you were exempt from income tax: http://www.hmrc.gov.uk/students/work_hols_while_student_8_1.htm

Not any more though!

OP, you almost definitely won't have reached your personal tax limit in two months, but as tax is calculated using PAYE this is quite difficult to resolve until the end of the tax year (as you'd basically have to make them believe you definitely won't be paid again until April). You could try ringing them on their helpline - whenever I have tried they've been very helpful, and will know exactly what you need to do.

Hello,
I have just finished my summer job, I worked for 3 months and received 3 pay cheques... and in each of them I got deducted Income Tax, I thought because I was a full time student I didn't have to pay this... is that correct?
I did ring up the tax office after my first pay cheque and they said I needed my p60... but because I hadn't had a job before this one I didn't have one.
So where do I go from here?
Any help would be appreciated. Thanks

That's no longer the case as of 6 April 2013. And even if there was any outstanding tax rebate from before then, it would've already been paid.