I have the Deluxe with heated grips. The 1" fit well but I added a small amount of tension by installing a small tiewrap in the hole closest to the grip. It is not that noticable but does the job quite well. I rode this morning on the freeway and used the Go Cruise quite a bit. It justs allows you to control the throttle rather than having the throttle control you when cruising at a sustained speed. Good, economical solution for throttle lock needs.
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Visited a local dealership recently and they had a BD Black on the showroom floor which had heated grips. I made a point of measuring the grips and the diameter is identical to my Basic Red. Info on the Go Cruise site suggest that the 7/8" Go Cruise should be used. I initially though the rubber on the heated grips was larger diameter than the regular unheated. That, in fact, is not the case.
Not surprising since other similar products available do not list different sizing in relation to heated or regular grips.