In the original poster's example:
$ git reflog
97df263 HEAD@{0}: commit: I just made my first change to this file. Yay!
4333289 HEAD@{1}: clone: from https://github.com/tswicegood/mysite
HEAD@{n} simply means the n-th prior position of HEAD:
- HEAD@{0}means the 0-th prior position of- HEAD.- 
- In other words, the current position of HEAD, soHEAD@{0}is actually the same asHEAD.
 
- HEAD@{1}means the 1st prior position of- HEAD.
- HEAD@{2}means the 2nd prior position of- HEAD, and so on.
More generally, the <reference>@{n} syntax is shorthand to mean "the n-th prior position of the reference/branch", as I state in my answer to What does the “at” @ sign/symbol/character mean in Git?. So you can use this syntax with any reference/branch, for example:
- master@{1}is the 1st prior position of the- masterbranch.
- origin/master@{1}is the 1st prior position of the remote-tracking branch- origin/master.
As explained in the official Linux Kernel Git documentation for specifying 
Git revisions:
<refname>@{<n>}, e.g. master@{1}
A ref followed by the suffix "@" with an ordinal specification enclosed in a brace pair (e.g. "{1}", "{15}") specifies the n-th prior value of that ref. For example "master@{1}" is the immediate prior value of master while "master@{5}" is the 5th prior value of master. This suffix may only be used immediately following a ref name and the ref must have an existing log ("$GIT_DIR/logs/").