Law Student Clinic Participation Act of 2011 - Amends the federal criminal code to exempt a law student or staff member participating in a legal clinic or externship of an accredited law school with respect to a matter within the scope of the clinic or externship from the criminal conflict of interest rules applicable to federal and District of Columbia employees, unless: (1) the student or staff has participated personally and substantially in the matter as a government employee; or (2) the matter is pending in the department or agency in which the student or staff is serving.