awww the poor little mite, hope shes feeling better, its that time of year I guess!
Whats probably happened is shes gotten used to the extra attention you no doubt lavished on her while shes been poorly, as any loving mother would, and is feeling a little insecure now that shes getting better - babies are more intelligent than we give them credit for sometimes!
Or it could be that shes reached that magical age when they realise they are a seperate person to you and test the boundaries of independance v dependance and just happens to be the same time as shes gotten poorly.
My advice would be to give her lots and lots of praise and encouragement when she does sit quietly without being clingy, tell her what a big girl she is and then reward her with a treat or something exiting to do that she can do on her own. When she does get very very clingy and your stress levels go up maybe give her to your partner when hes there and leafve the room for 5 minutes, give you both some time out and show her that she cant have you all to herself all the time.
Hope that helps