Devoted pet welcoming first of travellers home (6)
I believe the answer is:
doting
'devoted' is the definition.
(I've seen this before)
'pet welcoming first of travellers home' is the wordplay.
'pet' becomes 'dog'.
'welcoming' is an insertion indicator (in sense of 'inviting in').
'first of' indicates taking the first letters.
'home' becomes 'in' ('he's home' can mean 'he's in').
The first letter of 'travellers' is 't'.
't'+'in'='tin'
'dog' going around 'tin' is 'DOTING'.
(Other definitions for doting that I've seen before include "Blindly affectionate" , "Foolishly loving and indulgent" , "Showing great fondness as for a spouse" , "Overly fond of, say spouse" , "Devoted" .)