Put up with having left one Dutch export (5)
I believe the answer is:
tulip
'dutch export' is the definition.
(I've seen this in another clue)
'put up with having left one' is the wordplay.
'up' is a reversal indicator (in down clue: letters go upwards).
'with having' means one lot of letters goes inside another.
'left' becomes 'l' (common abbreviation).
'one' becomes 'i' (Roman numeral).
'put' backwards is 'tup'.
'l'+'i'='li'
'tup' enclosing 'li' is 'TULIP'.
(Other definitions for tulip that I've seen before include "Garden flower from bulb" , "cause of mania once" , "Flower of the Netherlands" , "Liliaceous plant with a spring flower" , "It blooms in 11 down" .)