Our Daf Hayomi Shiur takes place in a boardroom with large reclining chairs. Is one allowed to use the reclining position during shiur? Sleeping and for sure snoring would seem to be disrespectful (except for the way R' Levi Yitzchok Berdichev would explain it) but what about the reclining position?
You write that 'sleeping and snoring would seem to be disrespectful'. What do you mean by 'would seem to be'?
I'm not aware of any specific prohibition of learning whilst reclining, and presume that a weak person or one who is sick may do so with impunity.
But I would think that for a healthy person to do so is a sign of disrespect. Initially, the Gemara in Megilah (21a) teaches us, they used to learn Torah standing (out of Kavod ha'Torah), and it was due a general weakness that after the death of Raban Gamliel, they permitted learning sitting down. It is doubtful that they included reclining in the concession.
In similar vein, the Gemara in B'rachos speaks about learning Torah 'with dread, with fear, with trembling and with perspiration'. Clearly, Torah goes together with Yir'as Shamayim, and reclining is hardly conducive with the fear of G-d.
During the Seider, one is supposed to lean to the left whilst eating Matzah and whilst drinking the four cups of wine, but this is strictly forbidden whilst reciting the Hagadah, Hallel or Bensching, say the Poskim. And I would assume that the same objection would apply to learning Torah in that fashion.
No, I don't think that reclining whilst studying Torah is a good idea, and I doubt whether someone who does so will grow much in his Torah-learning, either.
Be'Virchas Kol Tuv