When you refer to ‘in pocket’ I believe you are referring to the simple choke measure that some use. A bore gauge for properly measuring bore diameter needs to take accurate measurements 9-10” from the end of the barrel. Won’t fit in my pocket. SKEETS bore gauges work fine and were reasonably priced at less than $140 US but the business ( a gun shop in the US) was no longer making them when I last checked 2-3 years ago. Points to remember……
Shotgun bore diameters are nominal, not precise. EG, the nominal diameter for a 12 gauge is .729” but different firearm manufacturers fudge on this. Fixed choke and Mobile choked Beretta 12’s usually measure about .724-.725”. Browning’s Invector Plus 12’s usually measure about .750” yet both are nominal 12 gauge.
Any given choke constriction such as Full (.040” constriction) is relative to the bore diameter so the Full choke on that Browning is a much larger diameter than the Full choke on the Beretta but both will have the same degree of constriction relative to their bore size and will give similar patterns.
For this reason the simple tapered gauge that you insert into the muzzle is useless if your bore diameter is different than the standard .729”.
Only a proper bore gauge or inside diameter gauge will measure both bore diameter and choke diameter and then you can subtract the choke diameter from the bore diameter to get the actual amount of choke in thousandths of an inch. Then if you want a name such as Full or Modified to apply to this diameter you look it up in a table provided by one of the choke tube manufacturers such as Briley or Carlson.