Thus maiden has no time for self-examination, being half-asleep? (9)
I believe the answer is:
somnolent
'asleep?' is the definition.
('somnolent' can be similar in meaning to 'asleep')
'thus maiden has no time' is the wordplay.
'thus' becomes 'so' (synonyms).
'maiden' becomes 'm' (cricket abbreviation).
'has' is a charade indicator (letters next to each other).
'time' becomes 'lent' (I have seen 'Time of fasting ' mean 'lent' so perhaps 'time' could also mean 'lent').
'so'+'m'+'no'+'lent'='SOMNOLENT'
'for self-examination being half' acts as a link.
This may not be right. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for somnolent that I've seen before include "drifting off" , "Drowsy - lost on men (anag)" , "falling asleep" , "Dozy" , "Comatose" .)