You've got the guts of it correctly.
Lets call the new table
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TblVisits
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VisitID AutoNumber PK
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MemberID Long
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DateTimeIn Date
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DateTimeOut Date
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That is assuming there is both an In & Out time wanted.
Things are quite different if the Out time is used, because, if only an In time is used, we need to devise a method of ensuring that the same person isn't logged in twice, a few minutes apart. If the Out time is used, then we can perform a check that members have to be out before they are logged in and equally they have to be in before they are logged out.
The table design may need modifying, depending on which option you choose
Phil