Panic is appropriate being trapped in bog (8)
I believe the answer is:
frighten
'panic' is the definition.
(thesaurus)
'appropriate being trapped in bog' is the wordplay.
'appropriate' becomes 'right' ('right' can be similar in meaning to 'appropriate').
'being trapped in' means one lot of letters goes inside another.
'bog' becomes 'fen'.
'right' going inside 'fen' is 'FRIGHTEN'.
'is' acts as a link.
(Other definitions for frighten that I've seen before include "Spook" , "Scare, alarm" , "Cause alarm" , "Shock" , "Put the wind up" .)