In plain English
FAR 52.237-2, Protection of Government Buildings, Equipment, and Vegetation, is a contract clause prescribed at FAR 37.110(b), most recently dated Apr 1984. 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 37.110(b), insert the following clause in solicitations and contracts for services to be performed on Government installations, unless a construction contract is contemplated:
Prescribing reference: FAR 37.110(b).
The official text, verbatim
As prescribed in 37.110(b), insert the following clause in solicitations and contracts for services to be performed on Government installations, unless a construction contract is contemplated:
Protection of Government Buildings, Equipment, and Vegetation (Apr 1984)
The Contractor shall use reasonable care to avoid damaging existing buildings, equipment, and vegetation on the Government installation. If the Contractor’s failure to use reasonable care causes damage to any of this property, the Contractor shall replace or repair the damage at no expense to the Government as the Contracting Officer directs. If the Contractor fails or refuses to make such repair or replacement, the Contractor shall be liable for the cost, which may be deducted from the contract price.
(End of clause)