[GL] No, not dancing spats.
[Dujon] No, there is no other meaning to the words on the card.
[Software] No, not drum mallets.
Here's what we know for sure -- that the words on the card represent an item made of leather and wood. The animal connection is human. The item(s) are connected with dancing and could even be characterized as dancing shoes. Drums and tambourines drew appreciative reactions from the audience. Do you think it might be helpful to explore some of the abstract connections?

[GL] No, not tap shoes.
[irach] Yes--although I am having a little bit of trouble with the word "refer" in your question. The abstract connection(s) call to mind a particular form of dancing, without naming it directly. The words on the card do so, as well.

[Raak] No. Not blue suede shoes. *audience applauds encouragingly*

[Raak] No, they are not connected with a specific performance piece. However, they are connected with a specific style of performance piece.

[irach] No, not that kind of shoe. But shoes for dancing is still a valid general concept.
I am not sure if this will be helpful but I think I should add a note that the words on the card name something that may also be constructed from synthetic materials.
[INJ] Yes. Originally, the style of performance piece was strongly associated with one country. Then performers in a second country made a very strong contribution and a second strong association was created.
[Chalky] No, not a soft shoe shuffle.
[Raak] No, not reel shoes.

[Chalky] No, not ballet shoes.
[irach] No, not bluegrass clog dancing or bluegrass clog dancing shoes. But you are getting warm geographically. :-)