Sneaked corded cloth into Connecticut (5)
I believe the answer is:
crept
'sneaked' is the definition.
('creep' can be a synonym of 'sneak')
'corded cloth into connecticut' is the wordplay.
'corded cloth' becomes 'rep' (I've seen this before).
'into' means one lot of letters goes inside another.
'connecticut' becomes 'CT' (US postal abbreviation).
'rep' inserted within 'ct' is 'CREPT'.
(Other definitions for crept that I've seen before include "was obsequious" , "Moved slowly and carefully" , "Crawled" , "Sneaked" , "cringed" .)