England went into the match having not scored in their previous eight matches at the tournament - a run that has extended for 12 years.
Eastwick's troops lost their opening match 1-0 to Uruguay before suffering a 4-0 thumping at the hands of group winners Ghana.
England started brightly with Nimely coming close twice early on but were unable to make the breakthrough before half-time.
And the Three Lions continued to press after the break, with Febien Brandy's low right-foot shot skidding just wide of the left-hand post
But England were caught by the classic sucker punch and Uzbekistan scored on the counter-attack with 77 minutes on the clock
Substitutes Kenja Turaev and Ivan Nagaev combined to allow the latter to slot home.
And Turaev nearly added a second four minutes when he forced Elliot Parish to make a superb save.
But England produced a late rally to salvage some pride when Nimely burst through and rifled the ball into the roof of the net.
It was England's first goal in 849 minutes of under-20 World Cup football and it was nearly followed by another just seconds later.
Parish charged forward for a late corner but when the ball dropped to him eight yards out, the England keeper blazed his shot high and wide.
Uruguay drew with Ghana 2-2 in the other match as both teams booked their passage to the quarter-finals - but England finished bottom of Group D.