I just got a new work PC, and the headphone socket is in a different place. This makes the (rather short, really) cable on my headphones hang in the air a bit and now it brushes my arm occasionally.
I think this is sufficient justification for new work headphones.
@mike Actually, not having good enough headphones is justification enough.
@skalman I do agree, but if the ones I have actually work, then it's a question of how urgently to prioritise the new ones.
None at all is "down tools, leave the building and do not return without headphones".
Consider this a friendly, local pub. Make yourself at home, bring your friends, have a good time! Meet new people, have a laugh, enjoy the ambience, and the Oxford commas.