Idly involved with a woman (5)
I believe the answer is:
lydia
'woman' is the definition.
(woman's name)
'idly involved with a' is the wordplay.
'involved with' indicates anagramming the letters (involved can mean confusing or complex).
'idly' mixed up with 'a' makes 'LYDIA'.
(Other definitions for lydia that I've seen before include "Old country" , "Female" , "Girl's name - ancient kingdom in Asia Minor" , "Old kingdom" , "'Love for --' (H.E. Bates)" .)