Responsibility to pick up condensation with hot drink (4)
I believe the answer is:
duty
'responsibility' is the definition.
(synonyms)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for duty that I've seen before include "Tariff" , "form of tax" , "Moral or legal obligation" , "Allegiance" , "Cancel (a law)" .)