I have a 1959 Blue Streak that I need to rebuild and recently got a 392S from Baker. The literature on the new 392 says 8 pumps just like the older one. The differences are obviously the synthetic stock, different safely placement compared to the '59 and different trigger feel. The comb on the new 392 is way higher making a scope almost a necessity.
Back to the pump question: Both models state 8 pumps on the literature. I have seen videos where the OP states 10 pumps and even pumps it up 10 times however I still think the factory states 8 pumps and I doubt that not much is gained by going from 8-10. It could also put too much stress on the seals but just my opinion . If someone has literature on the 392 that says 10 pumps I would like to hear of it. For the money it is a very good gun but getting groups with my old 73 year old arms is a workout. However, one or two shots at a time is a piece of cake..