حَدَّثَنَا الْحُمَيْدِيُّ، حَدَّثَنَا سُفْيَانُ، حَدَّثَنَا مُوسَى بْنُ أَبِي عَائِشَةَ ـ وَكَانَ ثِقَةً ـ عَنْ سَعِيدِ بْنِ جُبَيْرٍ، عَنِ ابْنِ عَبَّاسٍ ـ رضى الله عنهما ـ قَالَ كَانَ النَّبِيُّ صلى الله عليه وسلم إِذَا نَزَلَ عَلَيْهِ الْوَحْىُ حَرَّكَ بِهِ لِسَانَهُ ـ وَوَصَفَ سُفْيَانُ ـ يُرِيدُ أَنْ يَحْفَظَهُ فَأَنْزَلَ اللَّهُ {لاَ تُحَرِّكْ بِهِ لِسَانَكَ لِتَعْجَلَ بِهِ}
Narrated Ibn `Abbas:
The Prophet (ﷺ) used to move his tongue when the divine Inspiration was being revealed to him. (Sufyan, a subnarrator, demonstrated (how the Prophet (ﷺ) used to move his lips) and added. "In order to memorize it." So Allah revealed: "Move not your tongue concerning (the Qur'an) to make haste therewith." (75:16)
Reference: Sahih al-Bukhari
USC-MSA web (English) : Vol. 6, Book 60, Hadith 449
Arabic : Book 65, Hadith 4927