Races off and obtained delicacy (8)
I believe the answer is:
escargot
'delicacy' is the definition.
(I have seen 'French delicacy' mean 'escargot' so perhaps 'delicacy' could also mean 'escargot')
'races off and obtained' is the wordplay.
'off' indicates anagramming the letters.
'and' means one lot of letters go next to another.
'obtained' becomes 'got' ('get' can be a synonym of 'obtain').
'races' is an anagram of 'escar'.
'escar'+'got'='ESCARGOT'
(Other definitions for escargot that I've seen before include "Edible snail (from Fr.)" , "French delicacy" , "Hardly fast food" , "mollusc, from Paris" , "French food" .)