I personally carry mine on the front of my left hip (cross draw) i'm a righty.
The only disadvantage to crossdrawing an asp is retention.
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Anyone wish they could still carry a 4 or 5 C/D cell Mag-Lite that could do "double duty?"
First, if you're carrying a baton, even a collapsable Asp-type, without proper training, stop now and get some training. It's dated, but look for
The Koga Method of Baton Techniques.
Typical carry location is on the weak-hand side, just forward of the 3/9 o'clock position. This allows access to deployment with either hand, helps balance the duty-belt load and keeps the baton out of the way of the holster and weapon draw.
Next, stop thinking of the baton as a "cross draw" weapon. It's not necessary to use the baton that way. It can be drawn with the weak hand and still deployed smoothly. Or you can deploy it in CQB using the "short" end of the baton as a striking extension of your hand. Even when desiring a cross-draw, use the off-hand to push/extend the grasping end towards the strong hand.
The Asp is small enough to be drawn with the weak hand and deployed (extended) with either hand. One tactic is using the strong hand to wave, point or direct the subject whilst drawin the compacted Asp. Time permitting, it's passed to the strong hand and deployed when necessary. Some folks never even see it until it's deployed.
If you want a double-duty flashlight, order a multiple C-cell aluminum flashlight. These should fit in a baton ring just fine. Use a large (or x-large) rubber crutch-tip, cut out in the center, to slip over the body about 8-9" down from the flashlight head. This keeps it positioned like a baton and prevents accidental activation of the light.