Beginning to trap Queen with no winner (5)
I believe the answer is:
drawn
'with no winner' is the definition.
(as in a match ending in a draw)
'beginning to trap queen' is the wordplay.
'beginning' becomes 'dawn' (dawn is a kind of beginning).
'to trap' is an insertion indicator.
'queen' becomes 'r' (r is abbreviation regina. e.g. in ER ).
'dawn' placed around 'r' is 'DRAWN'.
(Other definitions for drawn that I've seen before include "Tense-looking; tied" , "stressed" , "Tired and worn" , "Looking strained, sketched" , "27 [ON TOW]," .)