This doc and app shows a workaround how to make cyclic groups for dimensions and measures. Qlik Sense 2018 November or later is required. The workaround is based on a variable and the button. The solution is not self service but no extensions or add-ons are required and using master items simplifies the usage.

Cyclic Dimension Group

1. Add a variable vDimension and set it to Year.
2. Add a button, set the label to =vDimension and add an set variable action for vDimension to toggle the dimensions:
   =pick(match(vDimension,'Year','Quarter','Month'),'Quarter','Month','Year')

Write dimension dependent expressions using vDimension (instead of GetCurrentField), ex:
=Sum(Sales)/ Sum(Total Aggr(Sum(Sales), $(=vDimension)))

For convenience, add master dimension CyclicDimension =$(vDimension) set to label =vDimension and make the button a master visualization.

Cyclic Measure Group 

1. Add a variable vButton and set it to Sales
2. Add a button set the label to vButton and add a set variable action for vButton to toggle the measures:
   =pick(match(vButton,'Sales','Orders','COS'),'Orders','COS','Sales')
3. Add a variable vMeasure and set it to hold the measure expressions:
   =pick(match(vButton,'Sales','Orders','COS'),'sum(Sales)','count(OrderID)','sum(COS)')
   
   

For convenience, add master measure CyclicMeasure =$(vMeasure) set to label =vMeasure and make the button a master visualization.

This technique has been mentioned before in: 
Top-10-Viz-tricks-Qonnections-2019
Top-10-Viz-tricks-Part-2

There are several proposals for cyclic groups, thanks for the inspiration:

Juraj Misina, https://dataqlues.com/getobjectfield-function-and-alternate-dimensions/