I see a similar question here, but the circumstances are somewhat different.
Our daughter is very nearly two years old, and has a really healthy appetite. However, when sitting at the table at mealtimes, she will only feed herself for (up to about) five minutes. After that, the bowl is pushed away and she wants to play. She will not eat anything by herself from that point, and our attempts (e.g. "aeroplane spoonful") usually result in a tantrum.
If we allow her to be "entertained" at the table (e.g. drawing/playing with a small toy, etc.), she continues to eat well and 99% of the time finishes her meal. However, this means mum or dad are having to feed her while she plays at the table.
Last year she was very ill, and dropped from an average weight to the lowest centile (of which she has never fully recovered). Therefore we are resistant to the "just let them graze" approach.
Things are getting awkward, as it looks like bad manners when we're out. Can anyone please share any similar experiences, and how these were overcome?