The most common and most likely answer to this crossword clue is the 4 letter word RISE
I've seen this crossword clue in Independent
R
I
S
E
More clues leading to the result RISE
- . What’s in Paris? Eiffel Tower
- About to restrict one’s increase in pay
- Get high in train shed on a regular basis
- Salesman dodging repeat success
- Promotion of English knight after elevation
- Further consideration given to employee
- Get bigger third helpings of tart unifying passion-fruit and cherry …
- Rebel is held by soldiers
- Reinsmen jump every second at tower
- Sounds like breads are affected by yeast
Buddy explains!

The straight part
We know that "success" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case success = rise.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 RISE mean?
RISE verb- To move, or appear to move, physically upwards relative to the ground.
- To increase in value or standing.
- To begin; to develop.
- To go up; to ascend; to climb.
- To cause to go up or ascend.
- To retire; to give up a siege.
- To come; to offer itself.
- To be lifted, or capable of being lifted, from the imposing stone without dropping any of the type; said of a form.
- The process of or an action or instance of moving upwards or becoming greater.
- The process of or an action or instance of coming to prominence.
- An increase (in a quantity, price, etc).
- The amount of material extending from waist to crotch in a pair of trousers or shorts.
- An increase in someone's pay rate; a raise (US).
- A small hill; used chiefly in place names.
- An area of terrain that tends upward away from the viewer, such that it conceals the region behind it; a slope.
- An angry reaction.
- (now chiefly) A twig or stick.
- A bobbin or spool.