The most common and most likely answer to this crossword clue is the 10 plus 5 letter word HESITATION WALTZ
I've seen this crossword clue in The Daily Telegraph
H
E
S
I
T
A
T
I
O
N
W
A
L
T
Z
Buddy explains!
The straight part
We know that "The dance to give one pause for thought" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case the dance to give one pause for thought = hesitation waltz.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.