1 I can happily do pullups on a beastmaker 1000 jugs so does this fit with this kind of injury?
2 Do I need to be giving climbing a miss for a bit, or 3 can I still do bits and pieces? 4 Will pullups cause further damage?
1 yes 2 I would 3 I'd rest it right now 4 They won't help recovery right now, I wouldn't bother.
Here's my advice. If it's a pulley. If it's A2, then the pad at the base of your finger will be sore when you apply pressure to it as that's where the ligaments are.
1 rest it completely for upto 3 weeks. Reduce inflammation with a daily ice bath and after 3 or 4 days, ibuprofen/voltarol tablets.
2 see a climbing physio.
3 bring up the diet/training list page and type 'A2 pulley finger injury' into the search box on the right. You'll have lots to read (DaveMcCleod's blog has stuff too)
4 There are doctors and physios on this board - you'll probably get some expert advice in due course, but it won't be based on an examination of your finger - see point 2.
It sounds like a fairly classic A2 (that isn't a diagnosis btw, that's an observatiopn from reading your post). Treatment and rehab time depend on severity, but the rule of thumb is total rest for 2-3 weeks and then graded activity building up from there. They often take about 3 months to fix, but people often begin to climb after 3 weeks. Mummify it with tape and start rehab with climbing severes has been my approach for such injuries. They are annoying but generally fixable.
Good luck.