Caught by dearest, ran, getting divorce (8)
I believe the answer is:
estrange
'divorce' is the definition.
(I've seen this before)
'caught by dearest ran getting' is the wordplay.
'caught by' indicates the answer is hidden within the clue.
'ESTRANGE' is hidden in the letters of 'dearest ran getting'.
(Other definitions for estrange that I've seen before include "As Regent (anag.)" , "Cause to become unfriendly using reagents" , "Divorce" , "Ten gears (anag.)" , "turn away?" .)