Follow house guest part of the way? (5)
I believe the answer is:
segue
'follow' is the definition.
'house guest part of the way?' is the wordplay.
'part of the way?' says the answer is hidden in the clue (I've seen 'part of the way' mean this).
'SEGUE' is hidden within 'house guest'.
(Other definitions for segue that I've seen before include "Change smoothly from one thing to another" , "Keep going without interruption" , "Move between songs, etc, without a pause" , "Move seamlessly from one section to another" , "carry on" .)