Straight after, call home (6)
I believe the answer is:
honest
'straight' is the definition.
(associated in meaning)
'after call home' is the wordplay.
'after' says to put letters next to each other.
'call' becomes 'ho' (historical exclamation used to attract attention).
'home' becomes 'nest' (I've seen this before).
'ho' put next to 'nest' is 'HONEST'.
(Other definitions for honest that I've seen before include "Virtuous" , "Not cheating, just" , "Trustworthy or candid" , "Fair and just, not crooked" , "Uncorrupt - open - genuine" .)