The most common and most likely answer to this crossword clue is the 8 letter word BASEBALL
I've seen this crossword clue in The Daily Telegraph
B
A
S
E
B
A
L
L
More clues leading to the result BASEBALL
Buddy explains!

The straight part
We know that "Babe’s smashed everything in this sport" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case babe’s smashed everything in this sport = baseball.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 BASEBALL mean?
BASEBALL noun- A sport common in North America, the Caribbean, and Japan, in which the object is to strike a ball so that one of a nine-person team can run counter-clockwise among four bases, resulting in the scoring of a run. The team with the most runs after termination of play, usually nine innings, wins.
- The ball used to play the sport of baseball.
- A variant of poker in which cards with baseball-related values have special significance.