Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
tirmidhi:1981Qutaybah > ʿAbd al-ʿAzīz b. Muḥammad > al-ʿAlāʾ b. ʿAbd al-Raḥman from his father > Abū Hurayrah

"(The burden of) what is said by the two who vilify each other is upon the one who initiated it, as long as the one who was wronged does not transgress."  

Abū ʿĪsá said that this Ḥadīth is Ḥasan-Ṣaḥīḥ.
الترمذي:١٩٨١حَدَّثَنَا قُتَيْبَةُ حَدَّثَنَا عَبْدُ الْعَزِيزِ بْنُ مُحَمَّدٍ عَنِ الْعَلاَءِ بْنِ عَبْدِ الرَّحْمَنِ عَنْ أَبِيهِ عَنْ أَبِي هُرَيْرَةَ

أَنَّ رَسُولَ اللَّهِ ﷺ قَالَ الْمُسْتَبَّانِ مَا قَالاَ فَعَلَى الْبَادِي مِنْهُمَا مَا لَمْ يَعْتَدِ الْمَظْلُومُ وَفِي الْبَابِ عَنْ سَعْدٍ وَابْنِ مَسْعُودٍ وَعَبْدِ اللَّهِ بْنِ مُغَفَّلٍ  

قَالَ أَبُو عِيسَى هَذَا حَدِيثٌ حَسَنٌ صَحِيحٌ

See similar narrations below:

Collected by Abū Dāwūd
abudawud:4894ʿAbdullāh b. Maslamah > ʿAbd al-ʿAzīz / Ibn Muḥammad > al-ʿAlāʾ from his father > Abū Hurayrah

when two men abuse one another, what they say is laid to the charge of the one who began it, so long as the one who is wronged does not go over the score.  

أبو داود:٤٨٩٤حَدَّثَنَا عَبْدُ اللَّهِ بْنُ مَسْلَمَةَ حَدَّثَنَا عَبْدُ الْعَزِيزِ يَعْنِي ابْنَ مُحَمَّدٍ عَنِ الْعَلاَءِ عَنْ أَبِيهِ عَنْ أَبِي هُرَيْرَةَ

أَنَّ رَسُولَ اللَّهِ ﷺ قَالَ الْمُسْتَبَّانِ مَا قَالاَ فَعَلَى الْبَادِي مِنْهُمَا مَا لَمْ يَعْتَدِ الْمَظْلُومُ