According to the PostScript file here: https://people.math.osu.edu/gerlach.1/laser/you_and_your_res..., October 1993.

OK let's use that.

It looks like a shorter variation of the much-posted https://hn.algolia.com/?query=you%20and%20your%20research&so..., but different enough to deserve some time in its own right.

I couldn't find the year for this one in particular, but it looks as if Hamming had a talk in this vein that he gave fairly frequently. For instance this http://www.cs.virginia.edu/~robins/YouAndYourResearch.html is a 1986 talk transcript that hits a lot of the same notes (it includes the anecdote about the lunch table which segues into the colleague who thought all summer about Hamming's question and went onto success; it has the bit about working with your door open; it talks about great scientists keeping a list of 10 or 20 important problems; it talks about selling your work; and so on). And https://www.youtube.com/watch?v=a1zDuOPkMSw is a 1995 video where Hamming says he's given a talk with that title many times.

it's also included in Hamming's book, the Art of Doing Science and Engineering, from '97