There are more Clear Creeks than you can shake a stick at. An OR search yields 135 hits. Here are three in the vicinity of Corinth.
http://ehistory.osu.edu/books/official-records/search?search_api_views_fulltext=%22Clear+Creek%22

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Itinerary of the First Division, Fifteenth Army Corps, commanded by Brigadier General Peter J. Osterhaus, U. S. Army, for September and October, 1863.*

September 22.-The division left camp at Black River Bridge and marched thence to Vicksburg, Miss., and proceeded on transport by river to Memphis, Tenn.; moved thence by railroad to Corinth, Miss.

September 30.-Encamped on Clear Creek, 1 mile east of Corinth, Miss.
Ser. 51, p. 658

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IUKA, September 11, 1862.

General GRANT:

The following is a copy sent to Brigadier General C. S. Hamilton:

JACINTO.

Telegraphed you that Mower was at Barnett's. Fourteen companies of cavalry will be on that same point this evening, a little west and south, on the Bay Springs road; two regiments have gone to Burnsville; two more will follow to-night; two more to-morrow. Our maps show three roads from Jacinto to Corinth-Glendale road by Mrs. Taylor's and Campbell's Mill, and the two crossing Hurricane at Van Derferd's and Rorey's Mill. Mitchell's Mill commands both, and Hurricane is a bad stream to cross. Should the rebels advance on you in force feel and get them in front and stop their advance guard, and quietly and firmly withdraw by these routes, obstructing their passage at advantageous points. Break down the bridges on Hurricane, fell trees, and fight them, but not to entangle yourself, falling back toward your old camp at Clear Creek, where I think we can find a good battle ground. Your baggage should take the Glendale road, covered by a regiment and section of artillery. Establish at once and maintain an efficient line of communication to headquarters.

W. S. ROSECRANS,
Ser. 25, p. 214

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CORINTH, October 1, 1862.

General GRANT:

Du Bois withdrawn from Rienzi to Danville. Cavalry regiment camped at Ruckersville, between Clear Creek and Jacinto. No news from Lee's reconnaissance supported by two regiments of infantry. Stanley not yet reported himself in position. Hamilton's division concentrated, and Davies and McKean on Chewalla road, except Crocker, who is near here. How far are the rebels advancing? Demonstration on Chewalla amounted to nothing.

W. S. ROSECRANS.
Ser 25, p. 252