In plain English
FAR 52.241-4, Change in Class of Service, is a contract clause prescribed at FAR 41.501(c)(3), most recently dated Feb 1995. The complete official text is reproduced below, verbatim, from GSA's published FAR source files.
Its text contains no sentence requiring insertion into subcontracts; see the flowdown section below for what that does and does not mean.
Does it flow down to subcontracts?
No flowdown mandate found in the clause text
We scanned the full clause text and found no sentence directing the contractor to insert this clause into subcontracts. That is a statement about the text, not legal advice: a prime contractor may still flow terms down contractually, an agency supplement (DFARS, VAAR, …) may add requirements, and clauses listed below (if any) may order this clause into subcontracts from the outside.
Where it's prescribed
As prescribed in 41.501(c)(3), insert a clause substantially the same as the following:
Prescribing reference: FAR 41.501(c)(3).
The official text, verbatim
As prescribed in 41.501(c)(3), insert a clause substantially the same as the following:
Change in Class of Service (Feb 1995)
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(a) In the event of a change in the class of service, such service shall be provided at the Contractor’s lowest available rate schedule applicable to the class of service furnished.
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(b) Where the Contractor does not have on file with the regulatory body approved rate schedules applicable to services provided, no clause in this contract shall preclude the parties from negotiating a rate schedule applicable to the class of service furnished.
(End of clause)