I can provide an inconvenient but working solution. Just set some variables with an And() and the ComboBox' items to a table of those variables when the search is triggered. Be careful in ordering the initialization of variables. It is important to "save" older search terms before overwriting the last variable.
Example for remembering last 3 search terms:
varSearch* are variables
inp_SearchText is a text input control
Trigger's (Icon, Button, etc.) OnSelect:
And(
Set(varSearch3, varSearch2),
Set(varSearch2, varSearch1),
Set(varSearch1, inp_SearchText.Text)
)
ComboBox' Items (formatted as Table):
[varSearch1, varSearch2, varSearch3]