The answer by @cpast answers the question as to Members of Congress having "missed a paycheck" by virtue of current the U.S. Government "shutdown". In plain language, no. Members of Congress do not "miss" paychecks, unless they expressly decide to do so.
However, were that not the case, (that is that MOC are working on
delayed paydates), when is the first paycheck they would get showing
See Salaries of Members of Congress: Recent Actions and Historical Tables Updated November 26, 2018
Congress is required by Article I, Section 6, of the Constitution to
determine its own pay.
also Congressional Salaries and Allowances: In Brief
Article I, Section 6, of the U.S. Constitution authorizes compensation
for Members of Congress “ascertained by law, and paid out of the
Treasury of the United States.” Adjustments are governed by the Ethics
Reform Act of 1989 (2 U.S.C. §4501) and the 27th Amendment to the
both published by the Congressional Research Service.
Some members of Congress have contacted the Chief Administrative Officer of the U.S. House of Representative or U.S. Senate, during different U.S. Government "shutdown"s, including U.S. Representative Mark Walker R-North Carolina, to state that they do not desire to receive compensation for a given period of time.
Concerning the supplemental inquiry made at comment to @cpast's answer
however still do not know when is the next "payday" or what the length
of the pay period is for MoC
According to the report published by CNN on April 11, 2011 When is payday for government? by Ed Hornick
CNN asked how those affected get paid:
The office of the House Chief Administrative Officer said that lawmakers get paid on the first of the month. Others, including
their staffers and other personnel, receive a paycheck at the end of
According to the Secretary of the Senate's office, all those in the Senate - lawmakers, staff and other personnel - are paid
on the 5th and 20th of every month.