Someone preferring not to move is bored travelling with him (4,4)
I believe the answer is:
home bird
'someone preferring not to move' is the definition.
I don't know anything about this answer so I cannot tell whether this works.
'bored travelling with him' is the wordplay.
'travelling with' is an anagram indicator.
'bored' mixed up with 'him' makes 'HOME BIRD'.
'is' acts as a link.
Can you help me to learn more?
(Other definitions for home bird that I've seen before include "One who stays in the nest?" , "One that likes to stay in the nest" .)