The long zoom is the biggest limitation to "pocket" camera's..
Two questions come to mind. How big a pocket? How much zoom.
When I rode, I almost always had a tank bag. A smallish bridge camera always fit in the top of the tank bag.
Also, there are more than one mirrorless camera's on the market that fit the bridge category.
One is the very small PEN... E-PM2, which body wise is about the size of many P&S. The lens however keeps it from fitting in a shirt pocket. Perhaps a jacket pocket.
I purchased a refurbished E-PM2 with 14-42 lens from the Olympus refurb page at their web site for $299.
You'd have the same sensor and process engine as in the Olympus EM-1... in the m4/3 interchangeable lens category. Superb image quality, Live view focusing (magnifies the center portion of the image for focus), In Body stabilization that works!!! And more.
I'd encourage you to look at Olympus PEN or other small mirrorless.
Me.... before I found mirrorless and Olympus, I just had huge pockets sewn on my jackets, thigh of my pants and some heavier duty shirts. Then I carried the smallest DSLR, which in fact was Olympus again. Olympus is the creator of SMALL and reasonable price.
Their Micro 4\3 camera's are super capture and dinky.
Gosh, even one of their "Tough" series P&S may meet your criteria.
Link to Olympus refurb page:
http://www.getolympus.com/us/en/outlet/reconditioned-cameras.htmlThis refurb outlet page also shows the camera that was mentioned in the first responder post.....The xz-2, at $239.99 which was originally a $600 camera.... Ahh, the benefit of "refurbished" and a warranty, for a while.