According to the relevant webpage, the majority of offers for Clarendon are sent out at the beginning of April. I'm sure this is subject to change, however. You can find a more detailed timeline here:
https://www.ox.ac.uk/clarendon/information-for-applicants/timeline
Congrats on your offer! I received one for the MSt in Theology, and I'm also in the same boat as regards decision-making prior to funding allocation wrapping up.
I applied for Theology as well (the MSt). I emailed the department to ask if I had been put forward for any funding, though I have yet to hear back from them. I can let you know when they reply and what their response is?