Ant (7)
'ant' is the definition.
(synonyms)
This is all the clue.
(Other definitions for emmet that I've seen before include "Local six-footer" , "one holidaying in Cornwall" , "Hill-dweller" , "Dialect word for an ant" , "Grockle" .)
(Other definitions for termite that I've seen before include "Ant-like insect that feeds on wood" , "Woodworm of warmer regions" , "Social insect" , "Wood-ant" , "Mound-dweller" .)