If your company is not involved with construction (but just design or inspection), make sure the contract states that the construction contractor is responsible for site safety, not the “engineer” or your company.
There should also be clauses so your company is also indemnified.
The construction means and methods and related safety should be the responsibility of the construction contractor. This must be in writing in the contract.
Your company should be included as additional insured on the contractor’s general liability insurance.
Liability coverage should define who it specifies as being covered. If it covers the “engineer” your company must document and include that it includes your company as well.