When I'm on my cycle for a day long pleasure ride or on a motorcycle trip, I'm carrying with a shoulder rig that hangs my pistol horizontally on my left side, accessible with my right hand. I never ride without either my mesh jacket or my leather, even if it's 100 degrees.
I can't imagine any scenario where I would even unholster my carry gun while on a running motorcycle. For sure, I would ride away from danger. Having ridden for 15+ years, I'm smart enough to know for certain that if I have a handgun in either hand, I am likely to crash my cycle. Then, I'm not only in danger of attack, I'm most likely hurt from a crash. Someone else might be much more skilled on a cycle, but you won't see me with a drawn handgun and a running motorcycle.
When riding, I also refuse to place myself in a position (when stopped) that doesn't allow me a way to get out. That's much more about motorcycle survival tactics than it is about crime avoidance.
The time I most want my concealed weapon when I'm on my motorcycle is when I stop at gas stations in cities and towns that I don't call home. For exactly that reason, I would rather not have my concealed pistol off my person and in a tank bag or saddle bag.
One last thing-- in the State of Ohio, a clip draw can get you in to trouble. At this point, it's specifically worded that any firearm concealed on the person by a licensed person must be in an actual holster when in a motor vehicle. As well, Ohio defines a motorcycle as a motor vehicle. Thus, in Ohio, if you have a pistol in a pocket with a clipdraw while sitting on a motorcycle, you better be in your driveway and you better own the property. If not, you are breaking the law and could be arrested for it.
Clipdraw is fine in Ohio if you are licensed to carry and you stay away from motorized transportation. But if you get in to a car or on a bike, clip draw is illegal.