Add two Signature fields, one for you and one for the recipient. Set the first field (under Properties - Signed) to lock all the fields in the file, except for the other signature field, when signed. Then sign the file, save it and send to the recipient. Technically, they will be able to edit the fields (not in Acrobat, though), but doing so would invalidate your signature so you would be able to see that they did when they send you back the signed file.
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