The most common and most likely answer to this crossword clue is the 8 letter word IMPRISON
I've seen this crossword clue in The Daily Telegraph
I
M
P
R
I
S
O
N
More clues leading to the result IMPRISON
- Lock up young man supporting African warriors without resistance
- Rascal recalled man’s address working in jail
- Pen like that entering mark shortly
- Incarcerate troublemakers working across Rhode Island
- Lock up the little devil, having rejected classroom show of dissent?
- Shop reduced some in rip off
- Jail is likely after politician nabbed by taxman
- Lock up mischief-maker, revolutionary Irish boy
- 18 Down literally in unending fix — shut up!
- One politician on right is about to shut up?
Buddy explains!

The straight part
We know that "Lock up" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case lock up = imprison.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does IMPRISON mean?
IMPRISON verb- To put in or as if in prison; confine.