Its actually a little surprising that it was used on a card because the picture is a bit gruesome.
The cards is from 1987 Classic and it shows Dawson getting beaned. It happened on July 7, 1987 as the Cubs were taking on the Padres. Eric Show was the Padre pitcher and after Dawson was hit, the benches emptied as Dawson laid on the ground. When he got up, though bloodied, Dawson went after Show. It's ironic that the card is from Classic, because the July 7 incident is classic Andre Dawson.
Here's a clip with that shows the beaning and has Dawson's description of the event.