He was a supporter of Gloucestershire County Cricket Club and was a personal friend of W. G. Grace.
However their friendship was tested owing to disagreements as regards how Cricket (1891) a book by W. G. Grace should be produced.
[1] He played a key role in the erection of a statue to Edward Colston in Bristol in 1895.
Several appeals to the public and to Colston-related charitable bodies failed to raise the £1,000 needed for its casting and erection, and Arrowsmith ended up paying the shortfall himself.
[3] He founded the Bristol Arrow Bowling Club in 1894 and was president until his death in 1913.