गोत्रचरणाद्वुञ्

Operational rule vidhi

The affix वुञ् comes in the sense of 'this is his' after the words denoting गोत्र (Patronymic/Family-names) of Vedic schools.

Word by word (padaccheda)

Left context - चरणात् pañcamī · ekavacanaSubstitute / term वु prathamā · ekavacana

Left context Pañcamī (5th case): "after X", the operation applies to what follows (1.1.67 तस्मादित्युत्तरस्य). Also used for limits and sources.
Substitute / term Prathamā (1st case): in operational rules, the substitute or the thing introduced; in definitions, the term or its referent.

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Full reading

-चरणात् वुञ्

Pāṇini leaves out words that carry over from earlier sūtras. Expand to see the rule as a reader actually understands it.

Commentary

The affix वुञ् comes in the sense of 'this is his' after the words denoting गोत्र (Patronymic/Family-names) of Vedic schools.
This debas अण् as well छ ॥ Thus gotra :- ग्लौचुकायनकम्, औपगवकम् ॥ According to Patanjali, the word चरण which ordinarly means Vedic School, means here duties or doctrines (dharma), and traditions (amnaya). Thus कठानां धर्म आम्नायो वा = काठकम् 'the dharma-Sutras or the tradition belonging to the school of Kathas'. So also कालापकम्, मौदकम्, पैप्पलादकम् ॥

Śrīśa Chandra Vasu, The Ashtadhyayi of Panini (1897), via ashtadhyayi.com.