Submit data with Shift+Enter
When entering data it is nice to have the multiline field, but using the mouse to submit is a bit cumbersome. Shift+enter seems like the most common way to submit in multiline fields.

Alice points out in previous admin response that shift-enter is also commonly used to get an explicit newline without submitting so this might be confusing.
But it may be that alt-enter is the right answer here. Note the discussion in the comments about tab+enter and tab+space, which is my own preferred solution.
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Admindreeves (Cofounder, Beeminder) commented
Another user requested alt-enter, citing Gmail as a website that implements that. If that's standard then I think we should support it. (I see that the only shortcut that works here in uservoice is tab+space or tab+enter.)
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Admindreeves (Cofounder, Beeminder) commented
Tab+space also works pretty universally. That's what I use, for example, for sending in Gmail, or for submitting this comment...
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AdminAndy B. (Admin, Beeminder) commented
Thanks Thomas - have you tried Tab+enter? That works for me on Chrome, and should work on most browsers even if it doesn't highlight the submit button.