In A Tale of Two Cities, what is the attitude of Tellson´s Bank towards change?

We are first introduced to Tellson´s Bank in Chapter 1 of
the second section of the novel, "The Golden Thread". The description we are given of
Tellson´s Bank is worthy of some study, and you will find the answer to your question
there.

It is described as "old-fashioned" twice in the
first paragraph, and then the second paragraph gives us a key indicator as to their
attitude towards change:

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Any one of these partners would have disinherited
his son on the question of rebuilding Tellson´s. In this respect the House was much on a
par with the Country; which did very often disinherit its sons for suggesting
improvements in laws and customs that had long been highly objectionable, but were only
the more respectable.

Thus
Tellson´s Bank is established as an institution that clings to the past and will not
"improve" in any way. The description we are given of its interior is funny in the
uncomfortableness of its environs. Upon entering Tellson´s Bank, we are told, you come
to your senses in a "miserable little shop", with the "dingiest of windows" and
customers who need to see "the House" they are made to wait in the most "dismal
twilight" contemplating their lives as if it were a prison. The general description is
of squalor and old age, for we are told:

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When they took a young man into Tellson´s London
house, they hid him somewhere till he was old. They kept him in a dark place, like a
cheese, until he had the full Tellson flavour and blue-mould upon
him.

Whilst this description
of the "maturing process" of Tellson´s workers is funny, it contributes to the overall
picture of an extremely traditional institution that is definitely not open to new ideas
or change.