كتاب الأشربة
36  
The Book of Drinks
(18)
Chapter: It is recommended to lick one's fingers and wipe the bowl, and to eat a piece of food that is dropped after removing any dirt on it. It is disliked to wipe one's hand before licking it, because of the possibility that the blessing of the food may be in that remaining part. The Sunnah is to eat with three fingers
(18)
باب اسْتِحْبَابِ لَعْقِ الأَصَابِعِ وَالْقَصْعَةِ وَأَكْلِ اللُّقْمَةِ السَّاقِطَةِ بَعْدَ مَسْحِ مَا يُصِيبُهَا مِنْ أَذًى وَكَرَاهَةِ مَسْحِ الْيَدِ قَبْلَ لَعْقِهَا
Sahih Muslim 2031 a

Ibn 'Abbas reported Allah's Messenger (may peace be upon him.) as saying:

When any one of you eats food he should not wipe his hand until he has licked it or has it licked*.
حَدَّثَنَا أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ، وَعَمْرٌو النَّاقِدُ، وَإِسْحَاقُ بْنُ إِبْرَاهِيمَ، وَابْنُ أَبِي عُمَرَ، - قَالَ إِسْحَاقُ أَخْبَرَنَا وَقَالَ الآخَرُونَ، حَدَّثَنَا - سُفْيَانُ، عَنْ عَمْرٍو، عَنْ عَطَاءٍ، عَنِ ابْنِ، عَبَّاسٍ قَالَ قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم ‏ "‏ إِذَا أَكَلَ أَحَدُكُمْ طَعَامًا فَلاَ يَمْسَحْ يَدَهُ حَتَّى يَلْعَقَهَا أَوْ يُلْعِقَهَا ‏"‏ ‏.‏
Reference : Sahih Muslim 2031a
In-book reference : Book 36, Hadith 168
USC-MSA web (English) reference : Book 23, Hadith 5037
  (deprecated numbering scheme)