Best I can tell the TSB for the TSI timing chain tensioner issue is TB-15-12-01. Haven't had much luck finding a copy of it, though. Perhaps your mechanic has a subscription to one of the paid services that has all the info the car manufacturers like to keep hidden from consumers.
Unfortunately, a TSB just gives advice on what happened after the fact. It's not a warranty or recall.
2009 Eismeer Blue Komfort 6-Speed, 2001 325i Touring 5-Speed, 1995 Dakota 5-Speed