Is there a workaround for ORA-01795: maximum number of expressions in a list is 1000 error?

Just use multiple in-clauses to get around this:

select field1, field2, field3 from table1 
where  name in ('value1', 'value2', ..., 'value999') 
    or name in ('value1000', ..., 'value1999') 
    or ...;