If I replaced my rear wheels, currently 16x8 et35 with a pair of 16x8 et10, which i think is the same as running a 25mm spacer - will handling be adversley affected?
In theory yes but whether it's enough to put you off is down to you. Personally I doubt you'll feel much difference. Maybe a bit more tramlining but that can probably be dialed out too.
Well the wheels will stick an inch further out so should be noticable but it probably depends a lot on the style of wheels. The alignment, particularly camber can make a big difference to how it looks too.
it won't affect tramlining as OP is changing rear wheels not fronts. might get a touch more understeer as your rear track gets a little wider, but won't be huge, esp if the same tyres are going on the new wheels.