Others regularly dispose of a hollow tile to fit together without gaps (10)
I believe the answer is:
tessellate
'fit together without gaps' is the definition.
'others regularly dispose of a hollow tile' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
'dispose of' becomes 'sell' (I've seen this before).
'hollow' says to hollow out the word (remove centre letters).
'tile' with its centre taken out is 'te'.
The alternating letters of 'others' are 'tes'.
'tes'+'sell'+'a'+'te'='TESSELLATE'
'to' is the link.
(Other definitions for tessellate that I've seen before include "Decorate with mosaics" , "perfectly fit to fill a space" , "Form a mosaic - sell estate (anag)" , "Create mosaic" , "make a patterned floor?" .)