In reply to Ice Nine:
Hi Ice Nine,
Sorry to hear about your "pop". As you are four weeks into your injury, cold water treatment is a good idea. As the article suggests, you want to be doing this 3 times a day and 3-5 times per week.
Cold water in a bowl with 5-6 ice cubes. Keep it submerged for 5 mins and then take out. Get it warm, keep up your movement and then return to the bowl - repeat.
For a severe sprain/tear, the rest means no climbing. Do not aggravate the injury or worsen it. Even on large holds the A gets a lot of pressure on jugs...this will not do you any favours and if anything, give you more scar tissue which will cause you problems down the line.
Active rest in terms of cold water treatment, and a very light sponge (can get these from hospital/doctors or even use a car sponge). The first port of call is movement. Keep the full movement of your finger in operation (gliders) to make sure the build up of scar doesn't cause trigger finger etc.
The elastic bands and other exercises mentioned in the article are to be done in time as well.
Good luck with the rehab and let me know if you need any further help.
Robin