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.
ahmad:7893Marwān b. Muʿāwiyah al-Fazārī > Yazīd b. Kaysān Āstaʾdhant > Sālim b. Abū al-Jaʿd / Yuṣallī Fasabbaḥ Bī Falammā Sallam

[Machine] Indeed, it is permissible for a man to recite Tasbih (glorification) while in prayer, and indeed, it is permissible for a woman to clap.  

أحمد:٧٨٩٣حَدَّثَنَا مَرْوَانُ بْنُ مُعَاوِيَةَ الْفَزَارِيُّ أَخْبَرَنَا يَزِيدُ بْنُ كَيْسَانَ اسْتَأْذَنْتُ عَلَى سَالِمِ بْنِ أَبِي الْجَعْدِ وَهُوَ يُصَلِّي فَسَبَّحَ بِي فَلَمَّا سَلَّمَ قَالَ

إِنَّ إِذْنَ الرَّجُلِ إِذَا كَانَ فِي الصَّلَاةِ أَنْيُسَبِّحَ وَإِنَّ إِذْنَ الْمَرْأَةِ أَنْ تُصَفِّقَ