Man chasing solution, endlessly in bind, shows spirit (5,2,6)
I believe the answer is:
creme de menthe
'spirit' is the definition.
(I've seen this before)
'man chasing solution endlessly in bind' is the wordplay.
'man' becomes 'he'.
'chasing' is a charade indicator (letters next to each other).
'solution endlessly' becomes 'remed' (I can't justify this - if you can you should give a lot more credence to this answer).
'in' indicates putting letters inside.
'bind' becomes 'cement' (cementing is a kind of binding).
'remed' inserted within 'cement' is 'cremedement'.
'he' after 'cremedement' is 'CREME DE MENTHE'.
'shows' acts as a link.
(Other definitions for creme de menthe that I've seen before include "alternative to 9 across [CHARTRESE] ?" , "booze" , "spirit" , "Peppermint liqueur" , "Green peppermint-flavoured liqueur" .)