Nutmeg seen in part of London gym? No chance! (4,4)
I believe the answer is:
some hope
'no chance' is the definition.
(phrase meaning something is unlikely)
'nutmeg seen in part of london gym?' is the wordplay.
'nutmeg' becomes 'me' (where the crossword setter is 'Nutmeg').
'seen in' means one lot of letters goes inside another.
'part of london' becomes 'Soho' (district of Westminster).
'gym?' becomes 'pe' (short for Physical Education).
'me' put into 'soho' is 'someho'.
'someho'+'pe'='SOME HOPE'
(Another definition for some hope that I've seen is " that will never happen".)