The correct option is A True
An adverb clause is a group of words containing a subject and a verb,
and it functions as an adverb, by modifying an adjective, verb or an
adverb. Adverb clauses generally begin with a subordinate conjunction
(since, because, while, etc.)
The underlined words "as you please" is an adverb clause of manner, 'as' is a conjunction that refers to manner, "you" is the subject and "please" is the verb.
Hence the statement is true; option A is correct and B is incorrect.