The most common and most likely answer to this crossword clue is the 5 letter word TRUMP
I've seen this crossword clue in The Guardian
T
R
U
M
P
More clues leading to the result TRUMP
- Card displayed by strumpet
- Outdo mostly loyal politician
- He has left historic parliament: that's a blow
- . A little less than honest politician
- Weekend golfer partial to sweet rum punch
- … to eclipse my predecessor
- Knock spots off front of trousers and rear
- Leader one hour away from victory
- Time to get behind the President
- President’s floozie having change of heart?
Buddy explains!

The straight part
We know that "eclipse/my predecessor" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case eclipse/my predecessor = trump.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 TRUMP mean?
TRUMP noun- The suit, in a game of cards, that outranks all others.
- A playing card of that suit.
- Something that gives one an advantage, especially one held in reserve.
- An excellent person; a fine fellow, a good egg.
- An old card game, almost identical to whist; the game of ruff.
- A card of the major arcana of the tarot.
- To play on (a card of another suit) with a trump.
- To play a trump, or to take a trick with a trump.
- To get the better of, or finesse, a competitor.
- To impose unfairly; to palm off.
- To supersede.
- To outweigh; be stronger, greater, bigger than or in other way superior to.
- A trumpet.
- Flatulence.
- The noise made by an elephant through its trunk.
- To blow a trumpet.
- To flatulate.
- A musical instrument consisting of a flexible metal or bamboo “tongue” attached to a frame. This tongue is placed in the performer’s mouth and plucked with the finger to produce a note of constant pitch. Melodies can be created by changing the shape of the mouth and causing different overtones.