Home by latest eleven, primarily to snuggle up (6)
I believe the answer is:
nestle
'snuggle up' is the definition.
(I've seen this in another clue)
'home by latest eleven primarily' is the wordplay.
'home' becomes 'nest' (a bird's home).
'by' means one lot of letters go next to another.
'primarily' suggests taking the first letters.
The initial letters of 'latest eleven' is 'le'.
'nest'+'le'='NESTLE'
'to' is the link.
(Other definitions for nestle that I've seen before include "Cuddle into soft place" , "Snuggle up closely to" , "Lie in cosily" , "Snuggle or curl up" , "Lie safely" .)