Jabir (RA) reported that Allah's Messenger (ﷺ) circumambulated the House on the back of his riding camel on the occasion of the Farewell Pilgrimage and touched the Stone with his stick so that the people should see him, and he should be conspicuous, and they should be able to ask him (questions pertaining to religion) as the people had crowded round him.
Related hadith on this topic
Explanation & Benefits
Hafiz Muhammad Ameen
From this it is understood that, in case of necessity, circumambulation (tawaf) may be performed on a mount instead of on foot. For example, elderly and sick individuals. Similarly, a mount may be used for educational purposes and the like.
Source: Sunan Nasa'i: Translation and Benefits by Shaykh Hafiz Muhammad Amin Hafizullah, Page: 2978
Hafiz Muhammad Ameen
For benefits, see Hadith: 2984.
Source: Sunan Nasa'i: Translation and Benefits by Shaykh Hafiz Muhammad Amin Hafizullah, Page: 2986