Is this a good product to use to clean the barrell while bench shooting (after every 2-3 shots)
No. That's a thick paste. It's made for cleaning and treating the barrel at the end of the day. What you want for between-shots wiping of the barrel is a liquid. Something like this: http://tinyurl.com/359smd
Although, actually, the old-timers just spit on a patch to wipe the barrel between shots, so you don't really NEED any kind of commercial product.