If a man or woman is working as a barber, then can they wear gloves and cut the hair of a person of the opposite gender?
There is no objection to cutting the hair of a person of the opposite gender per se, nor is there an objection to looking at the hair if the woman is mubtadhilah (does not observe hijab), as long as you look without lust and there is no fear of falling into sin. However, despite this, it is best to avoid such work.