Company right to get soldier a pet (5)
I believe the answer is:
corgi
'a pet' is the definition.
(I've seen this before)
'company right to get soldier' is the wordplay.
'company' becomes 'co' (abbreviation).
'right' becomes 'r' (common abbreviation).
'to get' means one lot of letters go next to another.
'soldier' becomes 'GI' (GI can mean a US soldier).
'co'+'r'+'gi'='CORGI'
(Other definitions for corgi that I've seen before include "Small Welsh dog with fox-like head" , "Welsh breen of dog" , "Cardigan, possibly" , "Queen's dog?" , "found in the kennels" .)