I did not understand what is "multiple value lookup column from another field". I understood, also having consulted your previous question, that you want Multiple-Selection List Box on lookup field.
It works for me. If you want help in particular problem, you should provide more details and in more clear terms how to reproduce it.
Having created and filled AnotherList
as well as created athe ListA and Infopath form for it.
in the Infopath Designer 2010 in edit mode of ListA Sharepoint List dorm for ListA I inserted Multiple-Selection List Box
having data-connected it to the column Title of ListA
filled 2 items into ListA having selected 2nd and 3d choice for first item and first choice for 2nd item
Here is screenshot of run-time 2nd item of ListA in browser:
Items are gotten as whole and just one of representing display field from it is selected to be rendered.
As such I answered about multiple values column.
So, one lookups multiple items not multiple columns from the same (already lookuped) item.
If you want to change the question to about getting values of multiple-columns and clarify there whay you want and why, then ask another question, don't change the original one.