One example may be the Amondawa who are a group of indigenous peoples from Brazil. The Amondawa are a sedentary group and utilize various forms of hunting fishing and agriculture to provide for their community, yet according to researchers the Amondawa lack an "abstract concept of time."
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The Amondawa were first "discovered" by anthropologists in 1986 and according to recent studies the Amondawa language has no word for "time", or indeed of time periods such as "month" or "year".
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Source: Amondawa tribe lacks abstract idea of time, study says
By Jason Palmer Science and technology reporter, BBC News
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Prof Sinha and his team, including a linguist and anthropologist, spent eight weeks with the Amondawa researching how their language conveys concepts like "next week" or "last year". There were no words for such concepts, only divisions of day and night and rainy and dry seasons.
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Source: Amazonian tribe has no calendar and no concept of time
By Richard Alleyne, Science Correspondent The Telegraph | Science News
Conclusion:
The University of Portsmouth and the Federal University of Rondonia in Brazil have hypothesized that the lack of the time concept arises from the lack of "time technology" - a calendar system or clocks - and that this in turn may be related to the fact that their number system is limited in detail and only goes up to four.
Seasons are decided by weather, the changing landscape and by the rhythm of agriculture itself. The irony being that instead of agricultural activities being performed by a season designated by "time" agricultural is an integral part of what actually determines the seasons.
Additional information:
Amondawa language and the use of seasons in regards to agriculture and daily life