Trinket initially greeted eagerly, with gratitude as well (6)
I believe the answer is:
gewgaw
'trinket' is the definition.
(I know that trinket can be written as gewgaw)
'initially greeted eagerly with gratitude as well' is the wordplay.
'initially' says to take the initial letters.
The initial letters of 'greeted eagerly with gratitude as well' is 'GEWGAW'.
(Other definitions for gewgaw that I've seen before include "Showy but valueless ornament" , "Bauble" , "A gaudy and useless trinket" , "Showy, worthless trinket" , "A trinket, showy but useless" .)