She might have a part in current Hair production (7)
I believe the answer is:
actress
'she might have a part' is the definition.
I can't tell whether this defines the answer.
'current hair production' is the wordplay.
I cannot quite see how this works, but
'current' could be 'ac' (alternating current) and 'ac' is found within the answer.
'hair' could be 'tress' (tress is a kind of hair) and 'tress' is found within the answer.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).
'in' acts as a link.
Can you help me to learn more?
(Other definitions for actress that I've seen before include "Female in plays/films" , "Female player" , "Female thespian" , "Female stage-player" , "One on stage" .)