Is this the switch you mean
http://cgi.ebay.com/NEW-roland-cr-8000-tr-808-tap-start-stop-switch-LTD_W0QQitemZ300180721130QQihZ020QQcategoryZ29552QQssPageNameZWDVWQQrdZ1QQcmdZViewItem
I know this is a completed auction, but these guys make all kinds of replacement parts for vintage gear. I bet they have more.

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To: tr-707@yahoogroups.com
From: eat_alf@...
Date: Mon, 10 Dec 2007 16:56:11 +0000
Subject: [tr-707] tr parts

i know this is a 707 forum but does anyone know a place i can order
replacement parts for a tr-808. i need a new start/stop switch.
thanks