Western state ruler, one like Hamlet? (7)
I believe the answer is:
waverer
'one like hamlet?' is the definition.
(To be or not to be. Prince Hamlet from Shakespeare)
'western state ruler' is the wordplay.
'western' becomes 'w'.
'state' becomes 'aver' (both can mean to declare).
'ruler' becomes 'ER' (abbreviation for Elizabeth Regina).
'w'+'aver'+'er'='WAVERER'
(Other definitions for waverer that I've seen before include "Irresolute person" , "ambivalent figure" , "One who can't decide" , "One who hesitates fearfully" , "One who is irresolute" .)