Do free-trade agreements typically include clauses relating to services? Do free-trade agreements typically include clauses relating to services?

For example, reciprocal recognition of professional qualifications.
The simplest answer is: some do, some don't.

Trade in goods and trade in services are dealt with quite separately, so structurally, you wouldn't find a couple of clauses on services within an FTA.  You would generally find a chapter on goods and (possibly) another on services, reflecting the division in the WTO between the GATT (goods) and the GATS (services).

Quantitatively, there is a roughly equal split between goods-only agreements and agreements that cover both (153 for goods only and 154 combined agreements have been notified to the WTO as of December 2018).

You also often find a group of countries negotiating a goods-only FTA first, then extending to cover services later on (for example by adding a protocol to an existing treaty).  This reflects the fact that an integrated services market is usually seen as a "deeper" form of integration than tariff-free trade.