The Wikipedia defines a savings and loan association (also known as a thrift) as a financial institution that specializes in accepting savings deposits and making mortgage loans. The term is mainly used in the United States; similar institutions in the United Kingdom, Ireland and some Commonwealth countries include building societies and trustee savings banks.
Furthermore, the Wikipedia stresses that they are often mutually held (often called mutual savings banks, meaning that the depositors and borrowers are members with voting rights, and have the ability to direct the financial and managerial goals of the organization. It is possible for a savings and loan to be a joint-stock company and even publicly traded. This means, however, that it truly no longer is an association and depositors and borrowers no longer have any managerial control.
Savings and loans were given a certain amount of preferential treatment by the Federal Reserve inasmuch as they were given the ability to pay higher interest rates on savings deposits compared to a regular commercial bank. The idea was that with marginally higher savings rates, savings and loans would attract more deposits that would allow them to continue to write more mortgage loans, which would keep the mortgage market liquid, and funds would always be available to potential borrowers.
Some tidbits in history:
Savings and loans were not allowed to offer checking accounts until the late 1970s. This reduced the attractiveness of savings and loans to consumers, since it required consumers to hold accounts across multiple institutions in order to have access to both checking privileges and competitive savings rates.
In the 1980s the situation changed. The United States Congress granted all thrifts in 1980, including savings and loan associations, the power to make consumer and commercial loans and to issue transaction accounts. Designed to help the thrift industry retain its deposit base and to improve its profitability, the Depository Institutions Deregulation and Monetary Control Act (DIDMCA) of 1980 allowed thrifts to make consumer loans up to 20 percent of their assets, issue credit cards, accept negotiable order of withdrawal (NOW) accounts from individuals and nonprofit organizations, and invest up to 20 percent of their assets in commercial real estate loans.