Welcome in H.C.M.
I have gone through your query regarding clicking in ear on burping, swallowing and yawing.
I would like to say that all above activities you said are those acts in which our eustachian tube opens and air from mouth reaches to middle ear. This is a normal and experence by all normal individuals . Since before operation because of hole in ear drum you were not familiar with this sound as air from middle ear comes out without moving it, now your hole is being closed therfore it had now being appretiated by you.I hope in 4 to 6 weaks time you will accept this sound.
Further you may go for Impedance audiometry
and if it reports as your drum movement is quite high (hight of peak in graph is much higher), than gromet insertion will solve your problem.