with driclor, make sure your underarm is totally dry before applying it. also, dont slap it on until ur underarm is soaking wet, just use a very small amount most nights. this way, it will go easier on more sensitive skin.
Why not change the type you use. ie. roll-on, spray, cream, natural rock, light body spray, stick..... But if regular stuff doesn't work at all, Boots do one that is stronger and for people with a perspiration problem.
I use the sanex one. Think its called excel. Its in a smaller spray but lasts as long as a regular size spray which is handy because you can take it in your bag for top ups if you need it, which i generally dont as its really good.
U can try the Gillette range of rub-on anti perspirants....they work nicely.
Clinique has a good range of APs, even without fragrance for those with sensitive skin....but be prepared for a small hole in ur pocket....Clinique's line of anti-perspirants works weondrefully, but goes for the equivalent of 10 UK pounds here.