Woman departs in the morning -- she leaves husband with student (6)
I believe the answer is:
damsel
'woman' is the definition.
(damsel is a kind of woman)
'departs in the morning she leaves husband with student' is the wordplay.
I cannot really see how this works, but
'departs' could be 'd' (common abbreviation e.g. train timetables) and 'd' is located in the answer.
'morning' could be 'am' and 'am' is located in the answer.
'student' could be 'l' (as in L-plates for learner drivers) and 'l' is located in the answer.
The remaining letters 'se' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for damsel that I've seen before include "Someone in distress?" , "Young woman (archaic)" , "An old girl, often in distress" , "Old-fashioned young woman" , "Young lady of old, perhaps in distress" .)