Is it normal to have swollen and tender gums after a dental cleaning?

On Thursday of this week I went to the dentist for my yearly check-up and during this visit my teeth were examined and cleaned. I didn't have any tartar on my teeth prior to them being cleaned and my x-rays showed no signs of cavities. Once the cleaning was done my dentist said that I had some very very light bleeding but overall, my teeth and gums were in pretty good shape! A few hours after leaving the dentist my mouth felt a little sore and my gums felt slightly tender and swollen which I had attributed to the cleaning however, it is three days later now and my gums are still tender and swollen should I be alarmed or is this completely normal as I have never experienced this after having my teeth cleaned? Your help is greatly appreciated thanks a bunch!