Cutting of the hand is not be inflicted on one who snatches something.

Abu Dawud said : Ibn Juraij did not hear these two traditions from Abu al-Zubair, I have been informed by Ahmad. B. Hanbal saving : Ibn Juraij heard them from Yasin al-Zayyat.

Aby Dawud said: Al-Mughirah b. Muslim has transmitted it from Abu al-Zubair from Jabir From the prophet(ﷺ).
Sunan Abi Dawud Book 40, Hadith 43
← Previous Hadith He also said through this chain: The Messenger of Allah (ﷺ) said: Cutting of the hand is not to be inflicted on one who is treacherous.

Sunan Abi Dawud Book 40, Hadith 42 Next Hadith → I was sleeping in the mosque on a cloak mine whose price was thirty dirhams. A man came and pinched it away from me. The man was seized and brought to the Messenger of Allah (ﷺ). He ordered that his hand should be cut off. I came to him and said: Do you cut off only for thirty dirhams ? I sell it to him and make the payment of its price a loan ? He said: Why did you not do so before bringing him to me ?

Abu Dawud said: Za'idah has also transmitted it from Simak from Ju'ayd ibn Hujayr. He said: Safwan slept. Mujahid and Tawus said: While he was sleeping a thief came and stole the cloak from beneath his head. The version of AbuSalamah ibn AbdurRahman has: He snatched it away from beneath his head and he awoke. He cried and he (the thief) was seized. Az-Zuhri narrated from Safwan ibn Abdullah. His version has: He slept in the mosque and used his cloak as pillow. A thief came and took his cloak. The thief was seized and brought to the Prophet (ﷺ).

Sunan Abi Dawud Book 40, Hadith 44