Put up with having left one flower (5)
I believe the answer is:
tulip
'flower' is the definition.
(thesaurus)
'put up with having left one' is the wordplay.
'up' says the letters should be written backwards (in down clue: letters go upwards).
'with having' is an insertion indicator.
'left one' becomes 'li' (left abbreviation plus 1).
'put' backwards is 'tup'.
'tup' going around 'li' is 'TULIP'.
(Other definitions for tulip that I've seen before include "Popular garden flower from Amsterdam?" , "Perennial bulb" , "Plant at the centre of the Dutch financial bubble of 1637" , "Spring-blooming plant" , "Spring-flowering plant" .)