According to the Queen, my Frank's naked ... (4)
I believe the answer is:
ones
'according to the queen my' is the definition.
(the Queen might use 'one's' to mean 'my')
'frank's naked' is the wordplay.
'frank' becomes 'honest' (similar in meaning).
'naked' means to look at the middle letters.
The middle of 'honest' is 'ONES'.
(Other definitions for ones that I've seen before include "(Of ship) returning to port of origin" , "Singletons" , "Aces" , "Singles" , "Individuals" .)