Being a nerd, and an EVE player, I had to make a spreadsheet to track Anomic Agents.
I've now been offered 11 Solo Anomic Agents, and 2 Team Anomic Agents.
I have a 61.5% overall success rate (as in, I accepted and completed the mission).
I have a 23.1% overall decline rate (as in, I was a pansy and didn't accept the mission).
I have a 15.4% overall failure rate (failure defined as I accepted the mission, got my teeth kicked in, and then punted the mission).
I have faced all of the Solo burners except the Serpentis/Daredevil. Both of the Team Agents have been the Jaguar.
Offer rate is averaging about every 6.8 vanilla level 4 missions. This is greatly offset by my run of ~25 or so missions before getting the 2nd offer. I expect this average to come down with time. Lately I've been running more like 3:1.
I have lost 5 total ships: 2x Vengeance, 2x Daredevil, and 1x Retribution. Total loss value of killmails is 255M isk, (355M total, minus the ~100M isk of recovered faction/t2 from the Retribution).
At an average of ~12k LP per offer, I have gained ~96k LP for the 8 successful missions to date. The 12k LP is an assumed number; my agent typically offers 10k or 14k).