The most common and most likely answer to this crossword clue is the 8 letter word REPRIEVE
I've seen this crossword clue in The Daily Telegraph
R
E
P
R
I
E
V
E
More clues leading to the result REPRIEVE
- Postpone sentence of agent brought to Rhode Island day before
- Sound of old magistrate supporting agent’s stay of execution
- Traveller always recalled carrying one spare
- Vendor, always upset, accepting current suspension
- Always returning to accept press release that’s for Amnesty
- Delay execution of agent, always up about one
- Referring to voting system that is vulnerable at edges results in postponement
- Rescue from deep river, swimming out of depth
- Let off bible studies in theatre last night
- Pardon that is pre-empting nothing in censure
Buddy explains!

The straight part
We know that "suspension" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case suspension = reprieve.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 REPRIEVE mean?
REPRIEVE noun- The cancellation or postponement of a punishment.
- A document authorizing such an action.
- Relief from pain etc., especially temporary.
- To cancel or postpone the punishment of someone, especially an execution.
- To bring relief to someone.
- To take back to prison (in lieu of execution).