loose end

noun
1.
a part or piece left hanging, unattached, or unused: Remind me to tack down that loose end on the stairway carpet.
2.
an unsettled detail, as of a business matter: The arrangements have been made, except for a few loose ends.
Idioms
3.
at loose ends, in an uncertain or unsettled situation or position: Ever since leaving the company, he's been at loose ends. Also, at a loose end.

Origin:
1540–50

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
loose end
 
n
1.  a detail that is left unsettled, unexplained, or incomplete
2.  at a loose end without purpose or occupation

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Example sentences
If you run the loose end of the cord underneath the knot, the tangle will come
  undone.
He plainly believed that it would be useful if his biographer were able to tidy
  up that loose end.
Tape the rubber band's loose end to the housing, eliminating slack.
The loose end pulls up the middle beta sheet, and the molecule falls apart.
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