Not liking to hang the thing up inside (6)
I believe the answer is:
hating
'not liking' is the definition.
I can't tell whether this definition defines the answer.
'hang the thing up inside' is the wordplay.
'the thing' becomes 'it'.
'up' shows that the letters should be reversed in order (in down clue: letters go upwards).
'inside' indicates putting letters inside.
'it' reversed gives 'ti'.
'hang' enclosing 'ti' is 'HATING'.
'to' acts as a link.
Can you help me to learn more?
(Other definitions for hating that I've seen before include "Having an aversion to" , "Abhorring" , "Disliking intensely" , "Detesting" , "Loathing" .)