We pay for bus and lunch money.
We also pay getting out of bed and to the bus on time money, so a tenner for a week of leaving the house and not getting a late mark.
In reality it is pocket money but it needs to be earned.
Also after a rocky start at college (although he now appears to be right in the groove) we pay £10 a week if we don't hear from his tutor, it was only a first term blip, but the offer of money has kept him on track. 
We pay for clothes about £100, once a quarter.
We pay his rugby subs and pay for all his kit.
We either drop his girlfriend home to the next county or pick him up from there every other week. He saves his up in time and out on time money to pay for his train there...
If we have disposable, then we will stop at a lovely country pub, have a drink and some bar snacks.
I think your partner is being unfair.
They will be working for the rest of their lives, and boy oh boy based on current projections it will be the rest of their lives, so if you can help a little or a lot, do so. Is my attitude.