You can ask for a print-out at an Underground ticket office, covering
your last dozen or so journeys. I think you can request one online
too, though they post it to you.

Not according to the Oyster helpline this morning. I specifically asked too.

I recently emailed to ask for a statement using the Ask Oyster website. They sent it to me by
email as a PDF.

Go to "Ask Oyster" then select "Email Oyster" select topic 1 as "Prepay"
and topic 2 as "Statement Request".