We also had that complication in a dog after neutering. The cold compresses help, but when the swelling hadn't gone down after a reaasonable amount of time, the vet withdrew some of the fluid with a needle (and, as horrible as that sounds, Cole never even flinched when it was done
). After that, it resolved over the next few weeks and there was no long-term damage.
How is Brady healing otherwise? Did the incision hold after he licked it or did they have to re-suture?
Congrats on the new addition, btw, and welcome to the board!