Stuck my job, having abandoned India (5)
I believe the answer is:
clung
'stuck' is the definition.
('cling' can be a synonym of 'stick')
'my job having abandoned india' is the wordplay.
'my job' becomes 'cluing' (the crossword setter's job).
'having abandoned' is a deletion indicator.
'india' becomes 'i' (phonetic alphabet: alpha, bravo, charlie etc.).
'cluing' with 'i' taken out is 'CLUNG'.
(Other definitions for clung that I've seen before include "Was emotionally close" , "Held on desperately" , "Held on tightly" , "Held on tight" .)