The most common and most likely answer to this crossword clue is the 4 plus 5 letter word MAKE HASTE
I've seen this crossword clue in The Times
M
A
K
E
H
A
S
T
E
More clues leading to the result MAKE HASTE
- Kind son gripped by aversion to speed
- Pal drinking shake ordered to get a move on
- Be quick to prepare Socialist leader amidst intense dislike
- Hurry up and master preparation of the sake
- Brand has half-term rush
- ‘Cook me a steak’, husband interjected. ‘Hurry up!’
- Roughly shake mate to get a move on
- Look sharp as terrible cheats caught out underpinning manufacture
Buddy explains!

The straight part
We know that "to speed" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case to speed = make haste.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.