Endlessly tease about direction (4)
I believe the answer is:
east
'direction' is the definition.
(compass direction)
'endlessly tease about' is the wordplay.
'endlessly' means to remove the last letter.
'about' indicates an anagram.
'tease' with its last letter taken off is 'teas'.
'teas' anagrammed gives 'EAST'.
(Other definitions for east that I've seen before include "One regularly holding hands" , "course" , "Chinese, perhaps" , "An opponent of North" , "Bridge player" .)