http://vixswingjazz.wordpress.com/2013/03/18/can-you-hear-th...
A few songs are missing from the page:
https://www.youtube.com/watch?v=oFtNC8BwKI0 (Dinah; NSFW)
https://www.youtube.com/watch?v=8YqDbd6pUC0 (Everything is Jumping)
To get a feel for clapping on the even beats:
https://www.youtube.com/watch?v=z_WZenJnT8M (Shout, Sister, Shout!)
https://www.youtube.com/watch?v=Vg_pi0r75mA (Lavender Coffin)
Harry Connick Jr. beat-shifts the audience from clapping on 1 & 3 to 2 & 4 (at 40 second mark):
https://www.youtube.com/watch?v=yD3iaURppQw
Usually the Ultimate Lindy Hop Showdowns have live music, which induces the audience to clap:
https://www.youtube.com/watch?v=UfWA4ClPnxk
A tradition called a jam circle involves encircling dancers who steal the spotlight, with the audience clapping (on even beats) for encouragement:
https://www.youtube.com/watch?v=kTRNQAcXhJo
This tradition goes back a long way; see Hellzapoppin' (1941) and Keep Punching (1939):