I doze before end of broadcast -- that's not appropriate (5)
I believe the answer is:
inapt
'not appropriate' is the definition.
(I've seen this before)
'i doze before end of broadcast' is the wordplay.
'doze' becomes 'nap' (I've seen this before).
'before' means one lot of letters go next to another.
'end of' suggests the final letters.
The last letter of 'broadcast' is 't'.
'i'+'nap'+'t'='INAPT'
'that's' is the link.
(Other definitions for inapt that I've seen before include "Ill-chosen, not suitable" , "Not fit, unsuitable" , "Not fitting" , "badly judged" , "Not proper" .)