King abandons game having note from flirtatious lady (8)
I believe the answer is:
coquette
'flirtatious lady' is the definition.
(term for a seductive woman)
'king abandons game having note' is the wordplay.
I cannot really understand how this works, but
'note' could be 'te' (musical note) and 'te' is present in the answer.
The remaining letters 'coquet' is a valid word which might be clued in a way I don't understand.
This may be the basis of clue (or it may be nonsense).
'from' is the link.
(Other definitions for coquette that I've seen before include "trifler" , "Flirt" , "Flirtatious woman" , "Flirting female" , "Seductive woman" .)