Though only 1,000' of elevation is gained, this section of route often takes climbers 2-3 hours to negotiate. Take your time and work with other teams, especially teams faster or slower than yours.
If circumstances don't permit a summit bid with that timeline, you can descend the Ridge to retrieve the rest of your cache. It only takes fit, acclimatized, proficient climbers about 30 minutes to get to most cache sites and 1-1.5 hours to get back to camp, and it's doable in fairly inclement weather.
This kind of terrain is often dangerous because it isn't too challenging. Climbers can be lulled into assessing their risk based on the low probability of a fall, neglecting to factor in the high consequences of an unroped or unprotected slip. Virtually all of those accidents fell to climber's left, down to or onto the Upper Peters Glacier.
This is a great time to check your ego and be gracious to other climbers who might be moving more quickly than your team, or be patient with a slower party. A quick rope will be up and past the Thumb in 15 minutes or less, while some rope teams might take an hour.