New free houses in part of Lancashire, say (4)
I believe the answer is:
rind
'part of lancashire say' is the definition.
'rind' can be an answer for 'part' (rind is a kind of part). I'm unsure of the 'of lancashire say' bit.
'new free houses' is the wordplay.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'free' becomes 'rid' (to be free of something is to be rid of it).
'houses' indicates putting letters inside.
'n' placed inside 'rid' is 'RIND'.
'in' is the link.
Can you help me to learn more?
(Other definitions for rind that I've seen before include "Fruit covering" , "'Peel, bark (4)'" , "Skin of bacon" , "Zest" , "thick skin" .)