Reading through the doctl reference I found that it is not only possible to see the logs, but even follow them as they happen which sounds really nice.
However the command seems to be only working when I omit the --follow flag.
doctl apps logs 755ad75c-90ca-4c06-a266-XXXXXXX
doctl apps logs 755ad75c-90ca-4c06-a266-XXXXXXX --follow
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