Tear page off a tiny bit to see item in paper (7)
I believe the answer is:
article
'item in paper' is the definition.
(item in a newspaper)
'tear page off a tiny bit to see' is the wordplay.
I cannot quite understand how this works, but
'a' is within the answer.
'bit' could be 'i' (resembles 1, a binary digit or bit) and 'i' is located in the answer.
'see' could be 'c' (the word for the letter, according to Chambers) and 'c' is located in the answer.
This explanation may well be incorrect...
(Other definitions for article that I've seen before include "account in the Financial Times" , "Eg, a, an or the" , "Division" , "'The', definitely" , "Particular object and newspaper report" .)