I had similar situation. My baby eat for 5 mins then eat very slow, no swallow I think. Even she is not sleeping, she would not 'try hard' to eat. Of course, she seems hungry again after an hour or less.
It is normal.
Actually, I was too tired and afraided if she only took those 'no fat milk'. Also, I think my supply is not enough for her. I gave up breastfeed her after 3 weeks but pump milk and bottle feed her. At least, I know she take 4.5 oz breast milk each time (Now 3-4 meals are breast milk per day). So, now I gave her formula milk or breast milk (about half half a day) between 3-4 hours.
Sometimes, when she seems hungry or not happy. I would breastfeed her cos' I enjoy it so much.