Cast of Hamlet gutted about falling-out (5)
I believe the answer is:
throw
'cast' is the definition.
('throw' can be a synonym of 'cast')
'hamlet gutted about falling-out' is the wordplay.
'gutted' means to remove the middle letters (to gut something is to remove its insides).
'about' says the letters should be written in reverse.
'falling-out' becomes 'row' (I've seen this before).
'hamlet' with its middle taken out is 'ht'.
'ht' back-to-front is 'th'.
'th'+'row'='THROW'
'of' is the link.
(Other definitions for throw that I've seen before include "Hurl; perplex" , "Dumbfound" , "Cast, hurl" , "shot-put event?" , "Confuse - cast" .)