I would advise against sending a vintage Heuer to Tag for service. They have no appreciation of proper vintage service.
I bought a very nice one owner 2447 from the son of the original owner, he insisted on servicing the watch prior to selling it to me. Despite my pleas he refused to sell the watch without servicing it. Further, against my best advise he insisted that the watch had to go to Switzerland to be serviced by TAG Heuer. Months later the watch came back and we made our deal. The cost of the watch was increased $1100 due to the service.

The watch returned with the crystal, crown and pushers replaced unnecessarily (the watch was in mint condition, rarely worn by his father). Unfortunately, the replacement parts were all completely wrong for this vintage watch. Furthermore after the service the watch had multiple issues including; the hour sub dial did not reset, the outer track was misaligned and the chrono hand did not completely reset to zero and they left a big stain on the seconds sub dial. Fortunately, they returned the original parts.

I shipped the watch off to my favorite watchmaker (a well know and respected member of this community) and he was able to restore the original parts and fix all the issues and now the watch looks like new. This is just one of several of his comments on the quality of work done by Tag Heuer:
"You can see the difference in the head of the adjustment cam screw at the end to the left tweezers pointer. Only a really lame watchmaker would miss that!"

: I followed all of the content from the Heuer Collector’sSummit
: with great interest, but the one thing that struck me was the
: extensive stocks of replacement parts that they seem to have
: stashed away in their cupboards !

: It made me think. I have a 2447T that seems to have been stored for
: years without a crystal, and not too surprisingly the dial is
: absolutely trashed. I have posted WTBs for a 2447T dial with no
: success, and to be honest it never crossed my mind that TagHeuer
: themselves might be a good service partner. So then comes the
: question… can others here share any experiences of servicing
: vintage pieces at TagHeuer ? My fears would be the usual things
: such as case polishing when not requested, insisting on
: replacing original parts with new (if they are considered to be
: damaged), and so on.