A lot of babies are really cranky and clingy when they teethe, especially when they get molars or eye teeth.
I don't know how other moms feel about ibuprofen or acetaminophen, but I gave it to my babies when they were teething just because with their molars and eye teeth they were so miserable. Some parents aren't comfortable using these meds, and I can completely understand that. My youngest got terribly constipated (totally breastfed at 7 months) when she was getting teeth. She was my most miserable baby while teething, and I gave her OTC Motrin. In those days, 12 year ago, they didn't have dye free meds, and they dye must have caused the constipation. I had my Pediatrician order dye free ibuprofen and acetaminophen from a compounding pharmacy for her.
Anyway, there are also homeopathic remedies for teething and chewing on frozen chew toys is helpful. They are in pain when they are teething so of course, they get clingy because they want to be near you. Teething pain usually ends when the tooth erupts, so it's short lived... then they start on an other one.
I did a lot of gum massage with my babies when they were teething. It seemed to help and also helps before nursing. Some babies feel strong tingling when they start the suction for nursing when they are teething and some babies respond to this by biting down. That's OK with a chew toy, NOT OK on Mama. The gum massage is really helpful for this.
Good luck, Mamas. Teething can be miserable for some babies.