A Lieberma wrote:
Was out doing approaches this morning to knock off the rust.

Called into JAN approach and requested ILS approaches into HKS under visual
rules.

Was 5 miles outside Brenz final approach fix and received the clearance;
Cleared for the ILS 16 approach or circle to land 34 Hawkins.

The clearance, as you state it, does not make sense.

Could it have been, "Cleared for the ILS 16 approach. Circle to land
Runway 34."

You could have then requested clearance to land Runway 16.

Or you could have circled-to-land following the normal VFR pattern for
the airport since the weather was VFR. Circle-to-land needs to be
modified to conform to local traffic expectations when the weather is good.