You can also consider using budget airlines or flying to a less popular airport in Tenerife. For example, Ryanair offers low-cost flights to Tenerife from several European cities. Tenerife has two airports: Tenerife South Airport (TFS) and Tenerife North Airport (TFN). Flying to TFN may be cheaper, as it is less popular than TFS.
Additionally, consider traveling during the off-season (typically November-April) when flight prices are generally lower. Finally, booking your flight in advance (several weeks or even months) can help you secure the best deals.