Tea-set mug I designed is only approximate (10)
I believe the answer is:
guestimate
'only approximate' is the definition.
I can't tell whether this defines the answer.
'tea-set mug i designed' is the wordplay.
'designed' is an anagram indicator (designed with the letters).
'tea'+'set'+'mug'+'i'='teasetmugi'
'teasetmugi' with letters rearranged gives 'GUESTIMATE'.
'is' is the link.
Can you help me to learn more?
(Other definitions for guestimate that I've seen before include "Assessment" , "Rough value" , "Rough judgment" , "Result of rough calculation" , "rough idea" .)