Disheartened girl not quite over what was put on her outstretched hand? (5)
I believe the answer is:
glove
'hand?' is the definition.
'disheartened girl not quite over' is the wordplay.
'disheartened' suggests removing the centre (the middle or heart is removed).
'not quite' means to remove the last letter (most but not all of the word).
'girl' with its middle removed is 'gl'.
'over' with its final letter removed is 'ove'.
'gl'+'ove'='GLOVE'
'what was put on her outstretched' acts as a link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for glove that I've seen before include "one on hand?" , "Hand in this is very closely associated" , "Mitten" , "protective wear on" , "Proverbially good fitter" .)