I had posted this, then saw that Roy had almost identical info and so deleted it. This is what the Internent Gun Club database has:

"...the business trading until about 1883 when the business was sold to Arthur Chamberlain. Arthur and his brother Edwin were probably apprenticed to and worked for Thomas (jr)"

About Chamberlain:

"In 1871 Edwin was a gunmaker aged 22, probably working for Thomas Cook Jr of Shepton Mallet, and Arthur (aged 12) was a gunmaker's apprentice.
In about 1882 Arthur bought the business of Thomas Cook at 48 High Street, Andover, and married Eleanora (b.1859 in Shepton Mallet).
In about 1886 the business moved to 19 High Street, Andover"

I am do not know the source they are using.

Pete