You can try adding some padding to your plot
ListLinePlot[
Callout[Table[i, {i, 1, 20}], "list", Appearance -> "Frame"],
PlotRange -> All, ImageSize -> Medium, ImagePadding -> 100]
Or if you want to control just the right side padding
ListLinePlot[
Callout[Table[i, {i, 1, 20}], "list", Appearance -> "Frame"],
PlotRange -> All, ImageSize -> Medium,
ImagePadding -> {{Automatic, 100}, {Automatic, Automatic}}]
This is working for me, hope it's what you're looking for