Tied: one's left in that place locked up? (8)
I believe the answer is:
tethered
'tied one's left in that place locked up?' is the definition.
'tethered' can be an answer for 'tied' (thesaurus). I'm not sure about the remainder of the definition.
'tied one's left in that place locked up?' is the wordplay.
'one' becomes 'i' (Roman numeral).
'left' is a deletion indicator.
'in that place' becomes 'there' (I've seen this before).
'locked up?' means one lot of letters goes inside another.
'tied' with 'i' taken out is 'ted'.
'ted' enclosing 'there' is 'TETHERED'.
(Other definitions for tethered that I've seen before include "Fastened with rope or chain, like animal" , "Tied (animals) up" , "on a leash" , "Of animal, with rope fastened to prevent straying" , "Not free" .)