Off label ?!
Not off label at all. The British National Formulary says quite clearly under Indications and dose:
"Anxiety with symptoms such as palpitation, sweating, tremor, 40 mg once daily, increased to 40 mg 3 times daily if necessary"
Section 4.1.2 on Anxiolytics says
"Beta-blockers (e.g. propranolol, oxprenolol) (section 2.4) do not affect psychological symptoms, such as worry, tension, and fear, but they do reduce autonomic symptoms, such as palpitation and tremor; they do not reduce non-autonomic symptoms, such as muscle tension. Beta-blockers are therefore indicated for patients with predominantly somatic symptoms; this, in turn, may prevent the onset of worry and fear. Patients with predominantly psychological symptoms may obtain no benefit."
It sounds like entirely appropriate prescribing to me... most other anxiolytics are of the same family as Valium