The average intern salary at Claremont was $11,561 , which is 141 percent higher than the average salary for this job in California, and 166 percent higher than the national average for this job . Intern salaries at Claremont typically range from $10,561 to $12,735 (25th to 75th percentile). The highest reported intern salary was $12,735. There are 6 employees at Claremont with the job title intern.