Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) says concerning this saying of Allah, "And those hunting animals you have trained" [Surah al-Ma'idah: 4]: (1) trained hunting dogs, (2) the falcon, (3) every bird that has been trained to hunt; "mukallibin" means hunting animals. Mujahid says: birds and dogs with which you hunt. Qatadah says: the dogs with which you hunt. "Your hands reach it" [Surah al-Ma'idah: 94] means arrows; "your hands" refers to small birds and the like, and "and your spears" [Surah al-Ma'idah: 94] refers to large game.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الجزية / 18868