It's common for young shogi players to become somewhat arrogant, and that sort of thing is probably not limited to the shogi world.

Literal

Young shogi-players [subject-が] somewhat, arrogant feeling [to-に] become [nominalizer-の] [topic-は] often-existing thing [with-で], that-kind-of thing [topic-は] shogi-world [to-に] limited talk is-not [conjecture-でしょう].

A measured observation about youth and ego. 棋士 (shogi player) is specific to Japanese chess. 尊大な (arrogant/haughty) is a na-adjective. ~に限った話ではない means 'is not a story limited to X' — a common way to say a phenomenon is universal. ~でしょう hedges as conjecture.